Math Problem: How Long Until the Earth Falls Into the Sun?
Our earth has orbital motion, revolving once around the sun in about 365 days. Suppose that this orbital motion suddenly stopped completely, but everything else remained the same. How long would it take for the earth to plunge along a straight line into the sun? [...] Kepler's law applies to planetary orbits, whether they be of circular, or elliptical shape. It says that T22/T12 = R23/R13, where T is the period of an orbit and R is its semi-major axis. The semi-major axis is the average...Overbeliefs
The "overbeliefs" of an enlightened man rest on the firmest basis of reality available. This he finds in the scientific picture of the universe of his age. On this foundation of natural knowledge he erects a unique unproven structure of "overbeliefs" concerning his universe, origin, life, hereafter, religion and God. "A man's religion must not give the lie to the world in which he lives. It must be as intelligent as Man". If the overbeliefs of an individual cannot be proven inconsistent with ...Human beings see the world through our desires and build a universe to fit with what we want from it.
Man Becomes Acquainted With the Laws of the Universe
Rational mechanics soon became a vast and profound science. The true laws of the collision of bodies, respecting which Descartes was deceived, were at length known. Huyghens discovered the laws of circular motions; and at the same time he gives a method of determining the radius of curvature for every point of a given curve. By uniting both theories, Newton invented the theory of curve-lined motions, and applied it to those laws according to which Kepler had discovered that the planets descr...When we learned and understood the motions of bodies in space.
Progress of Science in the Eighth Epoch
The march of the sciences is rapid and brilliant. The Algebraic language becomes generalized, simplified and perfected, or rather it is now only that it was truly formed. The first foundations of the general theory of equations are laid, the nature of the solutions which they give is ascertained, and those of the third and fourth degree are resolved. The ingenious invention of logarithms, as abridging the operations of arithmetic, facilitates the application of calculation to the various obj...After the invention of the printing press, the sciences flourish in many fields.
Muslim Science, European Science
The strangest thing of all is that our ulama these days have divided science into two parts. One they call Muslim science, and one European science. Because of this they forbid others to teach some of the useful sciences. They have not understood that science is that noble thing that has no connection with any nation, and is not distinguished by anything but itself. Rather, everything that is known is known by science, and every nation that becomes renowned becomes renowned through science. M...Quoting Sayyid Jamal ad- Din who observes Muslims rejected Western science in response to imperialism, where science recognizes no nation or culture.
Astronomy Killed Astrology
After a duration of a thousand years, the power of astrology broke down when, with Copernicus, Kepler, and Galileo, the progress of astronomy overthrew the false hypothesis upon which the entire structure rested, namely the geocentric system of the universe. The fact that the earth revolves in space intervened to upset the complicated play of planetary influences, and the silent stars, related to the unfathomable depths of the sky, no longer made their prophetic voices audible to mankind. Cel...By disproving Astrology's concept of celestial mechanics.
Science is Phrophetic
All Science is necessarily prophetic, so truly so, that the power of prophecy is the test, the infallible criterion, by which any presumed Science is ascertained to be actually & verily science. The Ptolemaic Astronomy was barely able to prognosticate a lunar eclipse; with Kepler and Newton came Science and Prophecy.It predicts the future.
Science is Discovery, Not Creation
I do not think that G. H. Hardy was talking nonsense when he insisted that the mathematician was discovering rather than creating, nor was it wholly nonsense for Kepler to exult that he was thinking God's thoughts after him. The world for me is a necessary system, and in the degree to which the thinker can surrender his thought to that system and follow it, he is in a sense participating in that which is timeless or eternal.The scientist is simply following the path nature has provided, uncovering its mysteries along the way.
Theory Versus Discovery
Discovery always carries an honorific connotation. It is the stamp of approval on a finding of lasting value. Many laws and theories have come and gone in the history of science, but they are not spoken of as discoveries. Kepler is said to have discovered the laws of planetary motion named after him, but no the many other 'laws' which he formulated. ... Theories are especially precarious, as this century profoundly testifies. World views can and do often change. Despite these difficulties, it...Theories come and go in the sciences, but discovery that stays around has a romantic permanence in science history.
Newton Was At The Right Time to Discover Calculus
Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier, Kepler, Cavalieri, Pascal, Fermat, Wallis, and Barrow. It was Newton's good luck to come at a time when everything was ripe for the discovery, and his ability enabled him to construct almost at once a complete calculus.Just as Darwin came at the right time to discover Evolution through Natural Selection.